I think you do not get my point of view, I just want to know that in an IDEAL WORLD, the Electrum wallet on the computer with an internet connection is safe if there is no Malwares, no hacker's attempt etc
We use Cold Storage only to avoid any possible risk that comes through the Internet, Right? There is no other reason.
Ideally just like you assumed, your coins or keys saved on electrum is save as long it is not compromised but in all honesty that something you will never get guarantee on
1- If we connect the Internet to that machine once or sometimes (to update the Electrum wallet) , will it not remain a cold storage?
No because a cold storage is when it never tastes the internet. Even that once could have it caught a malware.
2- If we are sure that there is no malware or something in the computer, what difference does it make to connect that cold storage computer sometimes to the internet to make transactions?
You cannot or never be sure once it touches or connects to the internet. There are malwares that can’t easily be detected. And connecting it sometimes to internet as you have suggested even if you are sure the device doesn’t have malware doesn’t not make it a cold storage again but rather a hot storage that is yet to catch malware. A cold storage never touches the internet.